3383923752 has 96 divisors (see below), whose sum is σ = 10080869760. Its totient is φ = 1025402400.

The previous prime is 3383923747. The next prime is 3383923801. The reversal of 3383923752 is 2573293833.

It is a happy number.

3383923752 is a `hidden beast` number, since 338 + 39 + 237 + 52 = 666.

It is a super-2 number, since 2×3383923752² = 22901879918699515008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3383923698 and 3383923707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78177 + ... + 113487.

It is an arithmetic number, because the mean of its divisors is an integer number (105009060).

Almost surely, 2^3383923752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3383923752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040434880).

3383923752 is an abundant number, since it is smaller than the sum of its proper divisors (6696946008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3383923752 is a wasteful number, since it uses less digits than its factorization.

3383923752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35356 (or 35327 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3383923752 is about 58171.5029202444. The cubic root of 3383923752 is about 1501.3208738534.

The spelling of 3383923752 in words is "three billion, three hundred eighty-three million, nine hundred twenty-three thousand, seven hundred fifty-two".